Mathematics Mathematical Thinkingusually ages 9–10

Complex Multi-Step Problems

Make sense of complex multi-step problems involving large numbers, fractions, decimals, and percentages by analysing what is known and unknown, planning multi-step strategies, and evaluating reasonableness through estimation and inverse operations

How to tell they’ve got it

Tick these off as you see them — no test required.

Break a three-step problem involving unit conversion and multiplication into sub-problems and solve systematically
Estimate 4,832 × 7 as roughly 5,000 × 7 = 35,000 to check a calculated answer of 33,824
Identify that a percentage answer over 100% doesn't make sense in context

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Try this together

When your child faces a complex multi-step maths problem involving percentages, large numbers, or fractions, do they pause to identify what's known, estimate an answer, and then check their final result makes sense?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Multi-Step Problem Solvingages 8–9Age 8-9 problem sense-making is prerequisite to age 9-10 level

Choosing a Strategyages 9–10Planning multi-step mathematical strategies and evaluating them is the maths-specific form of the universal strategy-evaluation habit

Division with remaindersages 9–10Multi-step word problems exercise problem sense-making at age 9-10

Percentage and decimal equivalentsages 9–10Percentage problems exercise multi-step reasoning

Complex Multi-Step Problemsthis skill · ages 9–10

Unlocks

Advanced Multi-Step Problemsages 10–11Y6 problem-solving extends Y5 multi-step problem analysis

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M6N06medium confidenceYear 6 · Number

multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers

AC9M5N06medium confidenceYear 5 · Number

solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers

AC9M6N08medium confidenceYear 6 · Number

approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies

NSW syllabus codes & stages only

MA3-MR-01low confidenceMathematics K-10 · Stage 3

MA3-RN-03low confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M6N07high confidenceMathematics · Level 6 · Number strand

VC2M5N06medium confidenceMathematics · Level 5 · Number strand

VC2M6N06medium confidenceMathematics · Level 6 · Number strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

Choosing representations strategicallyages 9–10 Fractions on a number line (age 9+)ages 9–10 Fractions, Decimals & Percentagesages 9–10 Precise Maths Vocabularyages 9–10

All Mathematical Thinking skills →